Sizing up entanglement in mutually unbiased bases with Fisher information

Abstract

An efficient method for assessing the quality of quantum state tomography is developed. Special attention is paid to the tomography of multipartite systems in terms of unbiased measurements. Although the overall reconstruction errors of different sets of mutually unbiased bases are the same, differences appear when particular aspects of the measured system are contemplated. This point is illustrated by estimating the fidelities of genuinely tripartite entangled states.

7 pages. 3 color figures. Close to the published version

References in corpus (3)

• Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
• Numerical shadow and geometry of quantum states
• Informational completeness of continuous-variable measurements

Cited by in corpus (8)

• Quantifying measurement incompatibility of mutually unbiased bases
• Structure of the sets of mutually unbiased bases with cyclic symmetry
• Quantum measurements with prescribed symmetry
• Error estimation in the direct state tomography
• MUB-like structures and tomographic reconstruction for N-ququart systems
• Practical implementation of mutually unbiased bases using quantum circuits
• Choice of mutually unbiased bases and outcome labelling affects measurement outcome secrecy
• A Note on Hierarchy of Quantum Measurement Incompatibilities